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Finding the Fourth Proportional to 321.89, 443.93 and 205.25

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Solution

The fourth proportional to 321.89, 443.93 and 205.25 is: 283.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.89 : 443.93 = 205.25 : x
  2. Step 2: Convert to fraction form
    321.89/443.93 = 205.25/x
  3. Step 3: Cross multiply
    321.89x = 443.93 × 205.25
  4. Step 4: Simplify right side
    321.89x = 91,113.39
  5. Step 5: Solve for x
    x = 91,113.39/321.89
  6. Step 6: Final answer
    x = 283.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.